Reviewed by Maila Caliao
What is 1.2 as a Fraction?
Answer: 1.2 as a fraction is 6/5
Converting a decimal like 1.2 into a fraction involves expressing the number as a ratio of two integers. This process helps in understanding the relationship between decimals and fractions, which are two different representations of the same mathematical value.
Methods
Math Tutor Explanation Using the Place Value Method
This method uses the knowledge that each digit after the decimal point has a specific place value, which helps in forming the fraction.
Step 1: Step 1: Write the decimal 1.2 as 12 divided by 10, or 12/10
Step 2: Step 2: Simplify the fraction by dividing both numerator and denominator by 2 to get 6/5
Math Tutor Explanation Using the Multiplication and Simplification Method
By multiplying the decimal to remove the decimal point and then simplifying, you can find the simplest equivalent fraction.
Step 1: Step 1: Multiply 1.2 by 10 to get 12, and recognize that you multiplied by 10, so write it as 12/10
Step 2: Step 2: Reduce 12/10 to lowest terms by dividing the numerator and denominator by their greatest common factor, which is 2, resulting in 6/5
Step 1:
Step 2:
Math Tutor suggests: Practice More Decimal to Fraction Conversions
Expand your understanding of converting decimals to fractions with these related exercises.
FAQ on Decimals to Fractions
Can all decimals be written as fractions?
All terminating and repeating decimals can be written as fractions; non-repeating, non-terminating decimals cannot.
What is the simplest form of 1.2 as a fraction?
The simplest form is 6/5.
Why do we multiply by 10 for 1 decimal place?
Multiplying by 10 shifts the decimal one place to the right, turning the decimal into a whole number.
What if the decimal repeats or continues forever?
If the decimal repeats, it's a recurring decimal and can still be written as a fraction, often using algebraic methods.
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